Advertisements
Advertisements
प्रश्न
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2925
Advertisements
उत्तर
2925 can be factorised as follows.
| 3 | 2925 |
| 3 | 975 |
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
2925 = 3 × 3 × 5 × 5 × 13
Here, prime factor 13 does not have its pair.
If we divide this number by 13, then the number will become a perfect square. Therefore, 2925 has to be divided by 13 to obtain a perfect square.
2925 ÷ 13 = 225 is a perfect square.
225 = 3 × 3 × 5 × 5
∴ `sqrt225` = 3 × 5 = 15
APPEARS IN
संबंधित प्रश्न
Find the square root of the following number by the prime factorisation method.
529
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
252
For the following number, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained.
2800
By just examining the unit digit, can you tell which of the following cannot be whole square?
1023
Find the square rootthe following by prime factorization.
11664
By splitting into prime factors, find the square root of 396900.
A man, after a tour, finds that he had spent every day as many rupees as the number of days he had been on tour. How long did his tour last, if he had spent in all ₹ 1,296
Examine if the following is a perfect square
725
Show that 500 is not a perfect square.
Using prime factorisation, find which of the following are perfect squares.
841
